Finding the Third Proportional to 78,712 and 166,316
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Solution
The third proportional to 78,712 and 166,316 is: 351,420.52
Step by Step Solution
- Step 1: Write the proportion equation
78,712 : 166,316 = 166,316 : x - Step 2: Convert to fraction form
78,712/166,316 = 166,316/x - Step 3: Cross multiply
78,712x = 166,316 × 166,316 - Step 4: Simplify right side
78,712x = 27,661,011,856 - Step 5: Solve for x
x = 27,661,011,856/78,712 - Step 6: Final answer
x = 351,420.52
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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.